Projective ideals in rings of dimension one

Carrig, J. E.; Vasconcelos, W. V.

doi:10.1090/S0002-9939-1978-0491655-2

Projective ideals in rings of dimension one
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by J. E. Carrig and W. V. Vasconcelos PDF

Proc. Amer. Math. Soc. 71 (1978), 169-173 Request permission

Abstract:

In this paper we discuss a construction that shows the projective ideals of a one-dimensional ring as radically dense in the set of all faithful ideals. Its applications are to questions of existence of a classical ring of quotients, to counting equations, and to a trade-in between Noetherianess and low homological dimension.

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